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 Boats and Streams 30 Flashcards |
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What is the definition of upstream in the context of boats and streams? |
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Upstream refers to the movement of a boat against the current of the stream. The net speed of the boat in this direction is called upstream speed. |
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What is the definition of downstream in the context of boats and streams? |
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Downstream refers to the movement of a boat in the same direction as the current of the stream. The net speed of the boat in this direction is called downstream speed. |
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What is the formula for calculating upstream speed? |
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Upstream Speed = u - v, where 'u' is the speed of the boat in still water and 'v' is the speed of the stream. |
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What is the formula for calculating downstream speed? |
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Downstream Speed = u + v, where 'u' is the speed of the boat in still water and 'v' is the speed of the stream. |
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How do you calculate the speed of the boat in still water using upstream and downstream speeds? |
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Speed of Boat in Still Water = ½ (Downstream Speed + Upstream Speed). |
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What is the formula for calculating the speed of the stream? |
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Speed of Stream = ½ (Downstream Speed - Upstream Speed). |
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If a boat takes t hours more to go upstream than downstream for the same distance, how can you calculate that distance? |
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Distance = {(u² - v²) × t} / (2v), where 'u' is the speed of the boat in still water and 'v' is the speed of the stream. |
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How do you calculate the total distance traveled by a boat if it takes t1 hours downstream and t2 hours upstream? |
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Speed of Man in Still Water = [v × {(t2 + t1) / (t2 - t1)}], where 'v' is the speed of the stream. |
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A boat can travel 40 km downstream in 2 hours. What is the effective speed of the boat downstream? |
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Effective Speed = Distance / Time = 40 km / 2 hours = 20 km/h. |
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If a person can swim at 10 km/h in still water and the current is 5 km/h, what is the time taken to swim 30 km downstream? |
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Effective Speed Downstream = 10 + 5 = 15 km/h. Time = Distance / Speed = 30 km / 15 km/h = 2 hours. |
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A boat's speed in still water is 12 km/h and the speed of the stream is 3 km/h. How long does it take to travel 90 km upstream? |
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Upstream Speed = 12 - 3 = 9 km/h. Time = Distance / Speed = 90 km / 9 km/h = 10 hours. |
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If a boat goes 24 km downstream in 1 hour and 30 minutes, what is its effective downstream speed? |
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Effective Speed Downstream = 24 km / (1.5 hours) = 16 km/h. |
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A boat can go upstream at 8 km/h and downstream at 12 km/h. What is the speed of the stream? |
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Speed of Stream = ½ (Downstream Speed - Upstream Speed) = ½ (12 - 8) = 2 km/h. |
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A boat travels 15 km downstream in 1 hour. What is its speed in still water if the stream's speed is known to be 3 km/h? |
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Effective Speed Downstream = 15 km/h. Speed of Boat in Still Water = Effective Speed - Stream Speed = 15 - 3 = 12 km/h. |
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A boat can travel 50 km upstream in 5 hours. If the stream's speed is 2 km/h, what is the speed of the boat in still water? |
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Upstream Speed = 50 km / 5 hours = 10 km/h. Speed of Boat in Still Water = Upstream Speed + Stream Speed = 10 + 2 = 12 km/h. |
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